Interactions of nonlinear gravity waves and uniform current in Lagrangian system

• 作 者: HSU Hung-Chu CHEN Yang-Yih LI Meng-Syue TSENG Wen-Jer
• 机 构: Tainan Hydraulics Laboratory,National Cheng Kung University,Department of Marine Environment and Eng
• 出 处: Acta Oceanologica Sinica
• 发表日期: 2009年01期
• 关键词: Lagrangian particle trajectory nonlinear water wave current drift velocity

The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation.The third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time,which imply that the entire solution is uniformly-valid.The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form.The angular frequency and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian.The variations in the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.

The particle trajectory on a weakly nonlinear progressive surface wave obliquely interacting with a uniform current is studied by using an Euler-Lagrange transformation. Third-order asymptotic solution is a periodic bounded function of Lagrangian labels and time, which imply that the entire solution is uniformly-valid.The explicit parametric solution highlights the trajectory of a water particle and mass transport associated with a particle displacement can now be obtained directly in Lagrangian form. angular angular and Lagrangian mean level of the particle motion in Lagrangian form differ from those of the Eulerian. variations of the water particle orbits resulting from the oblique interaction with a steady uniform current of different magnitudes are also investigated.